Extinction and quasi-stationarity in the stochastic logistic SIS model

Extinction and quasi-stationarity in the stochastic logistic SIS model

by Ingemar Nåsell

Book 2022 of Lecture notes in mathematics --

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"This volume presents explicit approximations of the quasi-stationary distribution and of the expected time to extinction from the state one and from quasi-stationarity for the stochastic logistic SIS model. Qualitatively different approximations are derived separately in three different parameter region, and then combined into a uniform approximation across all three regions. Subsequently, the results are used to derive thresholds as functions of the population size N."--P. [4] of cover.

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